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@article{171973,
        author = {k.jyothi},
        title = {A STUDY ON LINEAR DIFFERENTIAL EQUATIONS(EIGEN VALUES AND EIGEN VECTORS)},
        journal = {International Journal of Innovative Research in Technology},
        year = {2025},
        volume = {11},
        number = {8},
        pages = {1774-1778},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=171973},
        abstract = {Fundamental ideas in linear algebra, eigenvalues and eigenvectors have broad applications in many fields of mathematics, science, and engineering. This abstract examines the basic ideas of eigenvalues and eigenvectors, highlighting the importance of these concepts in comprehending complicated systems and occurrences. Square matrices include two mathematical characteristics known as eigenvalues and eigenvectors. The scalar values known as eigenvalues show how an eigenvector is scaled by a matrix. On the other hand, eigenvectors are unique vectors that, while being scaled by the appropriate eigenvalue, continue to point in the same direction after being multiplied by the matrix. Comprehension diagonalization and linear transformations requires a comprehension of these essential ideas.There are many uses for eigenvalues and eigenvectors. They are used in physics to characterize quantum states, stability in dynamical systems, and oscillation modes. They are essential to structural analysis, control theory, and signal processing in engineering.},
        keywords = {Analyzing, Eigenvalues, Eigenvectors, Linear, Transformations},
        month = {January},
        }